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99385344 = 21532337
BaseRepresentation
bin1011110110010…
…00000000000000
320221000022001200
411323020000000
5200420312334
613510101200
72314522122
oct573100000
9227008050
1099385344
1151111753
122934a800
1317789ac6
14d2b1212
158ad2799
hex5ec8000

99385344 has 96 divisors (see below), whose sum is σ = 287960790. Its totient is φ = 33030144.

The previous prime is 99385343. The next prime is 99385373. The reversal of 99385344 is 44358399.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 7225344 = 9600^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 99385344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99385343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294744 + ... + 295080.

Almost surely, 299385344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143980395).

99385344 is an abundant number, since it is smaller than the sum of its proper divisors (188575446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99385344 is an equidigital number, since it uses as much as digits as its factorization.

99385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 99385344 is about 9969.2198290538. The cubic root of 99385344 is about 463.2059347589.

The spelling of 99385344 in words is "ninety-nine million, three hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 337 384 512 576 674 768 1011 1024 1152 1348 1536 2022 2048 2304 2696 3033 3072 4044 4096 4608 5392 6066 6144 8088 8192 9216 10784 12132 12288 16176 16384 18432 21568 24264 24576 32352 32768 36864 43136 48528 49152 64704 73728 86272 97056 98304 129408 147456 172544 194112 258816 294912 345088 388224 517632 690176 776448 1035264 1380352 1552896 2070528 2760704 3105792 4141056 5521408 6211584 8282112 11042816 12423168 16564224 24846336 33128448 49692672 99385344